A quantitative study of imaging in random waveguides

Liliana Borcea

About the Event

I will present theoretical and numerical results on imaging in random
waveguides. Most of the talk will be for sound waves in waveguides with bounded
cross-section, with randomly perturbed boundary and/or wave speed. If time permits, I will
also discuss extensions to electromagnetic waves. I will show how to quantify long range
net scattering in random waveguides and will contrast the loss of coherence caused by
interior inhomogeneities vs. random boundaries. The results show that we should use different
imaging methods to mitigate scattering in the random medium and/or that
from the random boundary. I will present numerical results that illustrate
the analysis.